Some applications of Maia's fixed point theorem in the case of operators with Volterra property with respect to a subinterval

Miskolc Mathematical Notes

article

Alexandru-Darius Filip¹ 

[1] Babes¸-Bolyai University, Faculty of Economics and Business Administration, Department of StatisticsForecasts-Mathematics

关键词: space of continuous functions;    max-norm;    Bielecki norm;    contraction;    G-contraction;    fiber contraction;    fixed point;    Picard operator;    weakly Picard operator;    operator with Volterra property;    integral equation;    Maia’s fixed point theorem;   

DOI  :  10.18514/MMN.2022.3689

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

The aim of this paper is to improve some fixed point results given by I.A. Rus in (\emph{On a fixed point theorem of Maia}, Studia Univ. Babe\c s-Bolyai Math., 22(1977), 40-42), (\emph{Basic problem for Maia's theorem}, Sem. on Fixed Point Theory, Preprint 3(1981), Babe\c s-Bolyai Univ. Cluj-Napoca, 112-115) and (\emph{Data dependence of the fixed points in a set with two metrics}, Fixed Point Theory, 8(2007), no. 1, 115-123), by applying, instead of contraction principle, some variants of Maia fixed point theorem.

【 授权许可】

CC BY